solve 20th question
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the answer is 60' (60 degree)
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Answer:
Step-by-step explanation:
Given: The side BC of triangle ABC is produced on both the sides.
To prove: The sum of the two exterior angles so produced is greater than angle A by 180° that is ext∠B+ext∠C>∠A by 180°.
Proof: Now, ext∠B+ext∠C=180°-B+180°-C (Using straight line property)
⇒ext∠B+ext∠C=360°-(B+C)
⇒ext∠B+ext∠C=360°-(180°-∠A) (Using A+B+C=180°)
⇒ext∠B+ext∠C=180°+∠A
Hence, ext∠B+ext∠C is greater than ∠A by 180°.
Hence proved.
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